What does Birkhoff-James orthogonality know about the norm?

Ljiljana Arambašić; Alexander Guterman; Bojan Kuzma; Rajna Rajić; Svetlana Zhilina

doi:10.5486/PMD.2023.9388

What does Birkhoff-James orthogonality know about the norm?

Ljiljana Arambašić, Alexander Guterman, Bojan Kuzma, Rajna Rajić, Svetlana Zhilina

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

It is shown that Birkhoff-James orthogonality knows everything about the smooth norms in normed spaces of dimension at least three and can also compute the dimensions of the underlying normed spaces.

Original language	English
Pages (from-to)	197-218
Number of pages	22
Journal	Publicationes Mathematicae Debrecen
Volume	102
Issue number	1-2
DOIs	https://doi.org/10.5486/PMD.2023.9388
State	Published - 2023

Bibliographical note

Publisher Copyright:
© 2023 University of Debrecen, Institute of Mathematics. All rights reserved.

Keywords

Birkhoff-James orthogonality
clique
diameter
graph
normed vector space

Access to Document

10.5486/PMD.2023.9388

Cite this

@article{c376050ba1eb4a6aa45d53e0b20e4084,

title = "What does Birkhoff-James orthogonality know about the norm?",

abstract = "It is shown that Birkhoff-James orthogonality knows everything about the smooth norms in normed spaces of dimension at least three and can also compute the dimensions of the underlying normed spaces.",

keywords = "Birkhoff-James orthogonality, clique, diameter, graph, normed vector space",

author = "Ljiljana Aramba{\v s}i{\'c} and Alexander Guterman and Bojan Kuzma and Rajna Raji{\'c} and Svetlana Zhilina",

year = "2023",

doi = "10.5486/PMD.2023.9388",

language = "אנגלית",

volume = "102",

pages = "197--218",

journal = "Publicationes Mathematicae Debrecen",

issn = "0033-3883",